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### Question

If $p^q = 512$, then what could be $(p - 1)^(q + 1)$?

**A**

2401.

**B**

2402.

**C**

2400.

**D**

2403.

**Soln.**

**Ans: a**

By inspection we can see that p = 8, q= 3. So $(8 - 1)^(3 + 1)$ will be $7^4$, i.e., 2401.